Analytic approach to determine optimal conditions for maximizing altitude of sounding rocket

Lee, Sang-Hyeon

doi:10.1016/j.ast.2014.10.012

Cited by 7 publications

(2 citation statements)

References 24 publications

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“…An analytic exact solution of the rocket equation including aerodynamic drag exists only in a typical situation where all the forces are well balanced [19]. As a beginning study, we consider the typical case where an analytic solution exists.…”

Section: Introductionmentioning

confidence: 99%

“…But they are not based on the analytic solution of the rocket momentum equation. The previous study [19] showed an analytic approach to obtain exact solution of the rocket equation and to determine optimal condition for maximizing altitude. However the previous study cannot be applied to a sounding rocket flying in a real atmosphere where the air density changes with altitude.…”

Section: Introductionmentioning

confidence: 99%

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Analytic approach to determine optimal conditions for maximizing altitude of sounding rocket: Flight in standard atmosphere

Lee

Aldredge

2015

Aerospace Science and Technology

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The analytic approach to determine the optimal conditions for maximizing altitude of a sounding rocket is extended to the case in which the rocket flies in a standard atmosphere where the air density as well as the gravitational acceleration changes with altitude. The one-dimensional rocket momentum equation including thrust, gravitational force, and aerodynamic drag is solved. Flight in the standard atmosphere is analyzed by dividing the whole flight time into small intervals where the drag parameter and gravitational acceleration can be treated as constant in each interval. The analytic approach gives piecewise exact solutions of the rocket velocity and altitude that agree well with the numerical ones. A characteristic equation exists and provides accurate predictions of the optimal conditions for maximizing altitude at burn-out state or apogee.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%